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https://elib.psu.by/handle/123456789/48118| Title: | A Special Type of Multi-Dimensional Integral Transform with Fox H-Function in Lebesgue-type Weighted Spaces |
| Authors: | Sitnik, S. M. Skoromnik, O. V. Papkovich, M. V. |
| Issue Date: | 2024 |
| Publisher: | Springer Nature |
| Citation: | Sitnik, S. M. A Special Type of multi-Dimensional Integral Transform with Fox H- Function Multi-Dimensional Integral Transforms with the Fox H-Function in lebesque – type Weighted Spaces. / S. M. Sitnik, O. V. Skoromnik, M. V. Papkovich // Lobachevskii Journal of Mathematics – 2024. – № 9. – Vol. 45. – P. 4613–4623. - DOI: 10.1134/S1995080224605253. |
| Abstract: | This paper is devoted to the study of multi-dimensional integral transform with Fox H-function in kernels in weighted spaces of Lebesgue measurable functions in the domain with positive coordinates. By using the technique of the multidimensional Mellin transformation, mapping properties such as the boundedness, the range, the representations of the considered transform are established. Research results generalize those obtained earlier for the corresponding one-dimensional transformation. |
| URI: | https://elib.psu.by/handle/123456789/48118 |
| metadata.dc.identifier.doi: | 10.1134/S1995080224605253 |
| Appears in Collections: | Публикации в Scopus и Web of Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 4613–4623.pdf | 201.92 kB | Adobe PDF | View/Open |
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